Lesson 5-3 GeometryinMotion. Ohio Content Standards:

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Presentation transcript:

Lesson 5-3 GeometryinMotion

Ohio Content Standards:

Describe and apply the properties of similar and congruent figures; and justify conjectures involving similarity and congruence.

Ohio Content Standards: Make and test conjectures about characteristics and properties (e.g., sides, angles, symmetry) of two-dimensional figures and three-dimensional objects.

Ohio Content Standards: Draw and construct representations of two- and three-dimensional geometric objects using a variety of tools, such as straightedge, compass and technology.

Ohio Content Standards: Perform reflections and rotations using compass and straightedge constructions and dynamic geometry software.

Ohio Content Standards: Represent and model transformations in a coordinate plane and describe the results.

Ohio Content Standards: Draw the results of translations, reflections, rotations and dilations of objects in the coordinate plane, and determine properties that remain fixed; e.g., lengths of sides remain the same under translations.

Ohio Content Standards: Show and describe the results of combinations of translations, reflections and rotations (compositions); e.g., perform compositions and specify the result of a composition as the outcome of a single motion, when applicable.

Translation

When a figure is slid from one position to another without turning it.

Translation When a figure is slid from one position to another without turning it. slides ” Translations are sometimes called “ slides ”.

Reflection

When a figure is flipped over a line. The new figure is the mirror image of the original.

Reflection When a figure is flipped over a line. The new figure is the mirror image of the original. “ flips ” Reflections are sometimes called “ flips ”.

Rotation

When a figure is turned around a fixed point.

Rotation When a figure is turned around a fixed point. “ turns ” Rotations are sometimes called “ turns ”.

Identify each motion as a translation, reflection, or rotation.

In the figure,  FGH   ONP by a rotation.

Name the image of H.

In the figure,  FGH   ONP by a rotation. Name the side that corresponds to OP...

Assignment: Pgs all, all